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adell [148]
3 years ago
9

A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3 unit how many unit cubes does i

t take to fill the prism
Mathematics
1 answer:
Elenna [48]3 years ago
7 0

Answer:

<em><u>135</u></em> cubes would fill the prism

Step-by-step explanation:

volume of one small cube = (1/3)^3

= 0.037 cubic units

Number of cubes that would fill the prism =

5 cubic units / 0.037 cubic units

= 135 cubes

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Factor completely 3x2 - 21.
VMariaS [17]
3x² - 21

Factor 3 from both terms:

3 (x² - 7)

To me, that's as far as you should need to go.  But if you want to get
completely carried away, you could go one step further, since you have
the difference of two squares:

3 (x + √7) (x - √7)

Of course, there's no end now, because the last binomial could be
considered another difference of two squares, so you'd have to
factor that too:

3 (x + √7) (√x + ⁴√7) (√x - ⁴√7)

but to me, this would be nonsense.
6 0
3 years ago
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A set W of strings of symbols is defined recursively by 1. a, b, and c belong to W. 2. If x belongs to W, so does a(x)c. Which o
Vadim26 [7]

Answer:

a. a(b)c  

b. a(a(b)c)c  

d. a(a(a(a)c)c)c          

Step-by-step explanation:

We are given the following in the question:

a,b,c \in W\\\text{If } x \in W \Rightarrow a(x)c \in W

a. a(b)c

It is given b belongs to W.

b \in W\\\Rightarrow a(b)c \in W

b. a(a(b)c)c

a(b)c \in W\\\Rightarrow a(a(b)c)c \in W

c. a(abc)c

a(abc)c does not belong to W because we cannot find x in W such that a(abc)c belongs to W.

d. a(a(a(a)c)c)c

a \in W\\\Rightarrow a(a)c \in W\\\Rightarrow a(a(a)c)c \in W\\\Rightarrow a(a(a(a)c)c)c

e. a(aacc)c

a(aacc)c does not belong to W because we cannot find x in W such that a(aacc)c belongs to W.

8 0
3 years ago
Find the domain and range of the relation: {(–20, 11), (6, –8), (1, –20), (–13, 13)}
user100 [1]

Answer:

D: {-20, -13, 1, 6}

R: {-20, -8, 11, 13}

Step-by-step explanation:

Given the relation, {(–20, 11), (6, –8), (1, –20), (–13, 13)}, all x-values (inputs) make up the domain of the relation while all y-values make up the range of the relation.

Therefore:

Domain: {-20, -13, 1, 6}

Range: {-20, -8, 11, 13}

4 0
3 years ago
Please help mee you will get 100 points
professor190 [17]

Answer:

Equation: 15 - f = n

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Step-by-step explanation:

The question is asking to write the equation. The equation would be

"15 - f = n" where f  shirts folded

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Then the question has gave us the value of f and has told us to solve it. Below is the solution.

15 - 6 = n

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Therefore, there is 9 shirts remaining after 6 of them are folded.

What did we solve?

We wrote our equation and solved what was required in the question.

I hoped this helped.

If possible... May I have brainliest :)

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3 years ago
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When you don't know the answer on a multiple-choice questions it is generally best to
cluponka [151]
When you don't know the answer on a multiple-choice questions it is generally best to guess a random answer instead of leaving it blank.
Can you follow me and like me please? I hope i can help you more.☺
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